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Finding the Third Proportional to 265,724.16 and 403,506.98

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Solution

The third proportional to 265,724.16 and 403,506.98 is: 612,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,724.16 : 403,506.98 = 403,506.98 : x
  2. Step 2: Convert to fraction form
    265,724.16/403,506.98 = 403,506.98/x
  3. Step 3: Cross multiply
    265,724.16x = 403,506.98 × 403,506.98
  4. Step 4: Simplify right side
    265,724.16x = 162,817,886,439.41
  5. Step 5: Solve for x
    x = 162,817,886,439.41/265,724.16
  6. Step 6: Final answer
    x = 612,732.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.